Włącz czynnik pod znak pierwiastka:
a) 3√5
b) 2/5√15
Zapisz w prostszej postaci:
a)1/2√72 - 1/4√32 + 1/5√50
b)0,2 ³√250 - 0,25 ³√128 + 1/3 ³√54
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a) 3√5 = √[3*3*5] = √[9*5] = √45
b) ²/₅√15 = √[²/₅*²/₅*15] = √[6*²/₅] = √¹²/₅
a)½√72 - ¼√32 + ¹/₅√50 = ½ * 6√2 - ¼ * 4√2 + ¹/₅ * 5√2 = 3√2 - √2 + √2 = 6√2
b)0,2 ³√250 - 0,25 ³√128 + ⅓³√54 = 0,2 * 5∛2 - 0,25 * 4∛2 + ⅓*3∛2 = ∛2 - ∛2 + ∛2 = ∛2